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48 papers · 1 filter
Quantizing graphs, one way or two?
Jon Harrison
Quantum graphs were introduced to model free electrons in organic molecules using a self-adjoint Hamiltonian on a network of intervals. A second graph quantization describes wave p…
The de Sitter group and its representations: a window on the notion of de Sitterian elementary systems
Mohammad Enayati, Jean-Pierre Gazeau, Hamed Pejhan +1
We review the construction of ("free") elementary systems in de Sitter (dS) spacetime, in the Wigner sense, as associated with unitary irreducible representations (UIR's) of the dS…
Electrostatic Equilibria on the Unit Circle via Jacobi Polynomials
Kev Johnson, Brian Simanek
We use classical Jacobi polynomials to identify the equilibrium configurations of charged particles confined to the unit circle. Our main result unifies two theorems from a 1986 pa…
Anomalous Diffusion in One-Dimensional Disordered Systems: A Discrete Fractional Laplacian Method
J. L. Padgett, E. G. Kostadinova, C. D. Liaw +3
This work extends the applications of Anderson-type Hamiltonians to include transport characterized by anomalous diffusion. Herein, we investigate the transport properties of a one…
Casimir pistons with generalized boundary conditions: a step forward
Guglielmo Fucci, Klaus Kirsten, Jose M. Munoz-Castaneda
In this work we study the Casimir effect for massless scalar fields propagating in a piston geometry of the type where is an interval of the real line and is a…
On three-dimensional rotational averages of odd-rank tensors
Tuguldur Kh. Begzjav, Reed Nessler, Marlan O. Scully +1
The recent growing interest in nonlinear optical spectroscopy in optically active medium demands the three-dimensional rotational average of high-rank tensors. In the present paper…